Volume 15, Issue 4
New conservative schemes for regularized long wave equation

T. Wang & L. Zhang

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 348-356

Published online: 2006-11

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  • Abstract
In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave(RLW) equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order $\mathcal{O}(h^2+\tau^2)$ are proved in the energy norm. Numerical experiment results demonstrate the effectiveness of the proposed schemes.
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@Article{NM-15-348, author = {T. Wang and L. Zhang }, title = {New conservative schemes for regularized long wave equation}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {4}, pages = {348--356}, abstract = { In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave(RLW) equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order $\mathcal{O}(h^2+\tau^2)$ are proved in the energy norm. Numerical experiment results demonstrate the effectiveness of the proposed schemes. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8041.html} }
TY - JOUR T1 - New conservative schemes for regularized long wave equation AU - T. Wang & L. Zhang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 4 SP - 348 EP - 356 PY - 2006 DA - 2006/11 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8041.html KW - AB - In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave(RLW) equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order $\mathcal{O}(h^2+\tau^2)$ are proved in the energy norm. Numerical experiment results demonstrate the effectiveness of the proposed schemes.
T. Wang and L. Zhang . (2006). New conservative schemes for regularized long wave equation. Numerical Mathematics, a Journal of Chinese Universities. 15 (4). 348-356. doi:
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